Results 31 to 40 of about 396,174 (280)
We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario.
Yongsheng Mi, Chunlai Mu
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Blow-up rate for a nonlinear diffusion equation
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Zheng, Sining, Wang, Wei
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Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations II [PDF]
Consider axisymmetric strong solutions of the incompressible Navier-Stokes equations in $\R^3$ with non-trivial swirl. Let $z$ denote the axis of symmetry and $r$ measure the distance to the z-axis. Suppose the solution satisfies either $|v (x,t)| \le C_*
Carlen E. A. +9 more
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We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result.
Yongsheng Mi, Chunlai Mu, Weian Tao
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Blow-up rates of radially symmetric large solutions
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Cano-Casanova, S., López-Gómez, J.
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This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocal source and interior absorption with Dirichlet conditions or Neumann conditions.
Jiashan Zheng
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A complete classification of simultaneous blow-up rates
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Brändle, Cristina +2 more
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Blow-Up Phenomena for Nonlinear Reaction-Diffusion Equations under Nonlinear Boundary Conditions
This paper deals with blow-up and global solutions of the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: g(u)t=∇·au∇u+fu in Ω×0,T, ∂u/∂n=bx,u,t on ∂Ω×(0,T), u(x,0)=u0(x)>0, in Ω¯, where Ω⊂RN (N≥2) is a ...
Juntang Ding
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This article is concerned with the decay and blow-up properties of a nonlinear viscoelastic wave equation with strong damping. We first show a local existence theorem.
Qian Li, Luofei He
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On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN
We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei +3 more
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